Note on a -Contour Integral Formula of Gasper-Rahman

We use the -Chu-Vandermonde formula and transformation technique to derive a more general -integral equation given by Gasper and Rahman, which involves the Cauchy polynomial. In addition, some applications of the general formula are presented in this paper.

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Main Author: Jian-Ping Fang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/840704
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author Jian-Ping Fang
author_facet Jian-Ping Fang
author_sort Jian-Ping Fang
collection DOAJ
description We use the -Chu-Vandermonde formula and transformation technique to derive a more general -integral equation given by Gasper and Rahman, which involves the Cauchy polynomial. In addition, some applications of the general formula are presented in this paper.
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institution Kabale University
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publishDate 2013-01-01
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series Abstract and Applied Analysis
spelling doaj-art-43b29d01e4334255a31db3b3ac9b43372025-02-03T00:59:33ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/840704840704Note on a -Contour Integral Formula of Gasper-RahmanJian-Ping Fang0School of Mathematical Science, Huaiyin Normal University, Huai’an, Jiangsu 223300, ChinaWe use the -Chu-Vandermonde formula and transformation technique to derive a more general -integral equation given by Gasper and Rahman, which involves the Cauchy polynomial. In addition, some applications of the general formula are presented in this paper.http://dx.doi.org/10.1155/2013/840704
spellingShingle Jian-Ping Fang
Note on a -Contour Integral Formula of Gasper-Rahman
Abstract and Applied Analysis
title Note on a -Contour Integral Formula of Gasper-Rahman
title_full Note on a -Contour Integral Formula of Gasper-Rahman
title_fullStr Note on a -Contour Integral Formula of Gasper-Rahman
title_full_unstemmed Note on a -Contour Integral Formula of Gasper-Rahman
title_short Note on a -Contour Integral Formula of Gasper-Rahman
title_sort note on a contour integral formula of gasper rahman
url http://dx.doi.org/10.1155/2013/840704
work_keys_str_mv AT jianpingfang noteonacontourintegralformulaofgasperrahman